8 citations · 12 across the 3 of their papers we have counts for
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Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim +1
We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lamé system converge in appropriate -n…
A gradient estimate for solutions to parabolic equations with discontinuous coefficients
Jishan Fan, Kyoungsun Kim, Sei Nagayasu +1
Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively.…
Estimate of the Fundamental Solution for Parabolic Operators with Discontinuous Coefficients
Michele Di Cristo, Kyoungsun Kim, Gen Nakamura
We will show that the same type of estimates known for the fundamental solutions for scalar parabolic equations with smooth enough coefficients hold for the first order derivatives…